Special properties of differential inverse power series rings

DOI10.1142/S0219498816501814zbMath1375.16019MaRDI QIDQ3179558

Kamal Paykan, Ahmad Moussavi

Publication date: 21 December 2016

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

cleanlocaltriangulating dimensionprojective-free ringsemilocalascending chain conditions for principal one-sided idealsquasi-duodifferential inverse power series ringgeneralized triangular matrix representationpiecewise prime ringsemicentral idempotent(flat) projective socle ring(principally) quasi-Baer ringsemiperfect \(I\)-ring

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (9)

Triangulating dimension of skew generalized power series rings ⋮ Triangular matrix representation of differential polynomial rings ⋮ Study of skew inverse Laurent series rings ⋮ Primitivity of skew inverse Laurent series rings and related rings ⋮ Skew inverse Laurent series extensions of weakly principally quasi Baer rings ⋮ A characterization of 2-primal and NI rings over skew inverse Laurent series rings ⋮ Differential extensions of weakly principally quasi-Baer rings ⋮ Some new results on skew inverse Laurent series rings ⋮ Morita contexts and the projective socle property

Cites Work

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• Laurent series rings and pseudo-differential operator rings.
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• Baer and Quasi-Baer Properties of Skew Generalized Power Series Rings
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• ACCP in Polynomial Rings: A Counterexample
• RINGS IN WHICH ELEMENTS ARE UNIQUELY THE SUM OF AN IDEMPOTENT AND A UNIT
• TRIANGULAR MATRIX REPRESENTATION OF SKEW GENERALIZED POWER SERIES RINGS

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